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Number

1,128

1,128 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Hexagonal Practical Number Recamán's Sequence Semiperfect Number Triangular Year

Historical context — 1128 AD

Calendar year

Year 1128 (MCXXVIII) was a leap year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Sunday
January 1, 1128
Ended on
Monday
December 31, 1128
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1120s
1120–1129
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
898
898 years before 2026.

In other calendars

Hebrew
4888 / 4889 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
521 / 523 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1671 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
506 / 507 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1120 / 1121 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1050 / 1049 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
16
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
8,211
Recamán's sequence
a(1,916) = 1,128
Square (n²)
1,272,384
Cube (n³)
1,435,249,152
Divisor count
16
σ(n) — sum of divisors
2,880
φ(n) — Euler's totient
368
Sum of prime factors
56

Primality

Prime factorization: 2 3 × 3 × 47

Nearest primes: 1,123 (−5) · 1,129 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 47 · 94 · 141 · 188 · 282 · 376 · 564 (half) · 1128
Aliquot sum (sum of proper divisors): 1,752
Factor pairs (a × b = 1,128)
1 × 1128
2 × 564
3 × 376
4 × 282
6 × 188
8 × 141
12 × 94
24 × 47
First multiples
1,128 · 2,256 (double) · 3,384 · 4,512 · 5,640 · 6,768 · 7,896 · 9,024 · 10,152 · 11,280

Sums & aliquot sequence

As consecutive integers: 375 + 376 + 377 63 + 64 + … + 78 1 + 2 + … + 47
Aliquot sequence: 1,128 1,752 2,688 5,472 10,908 17,652 23,564 18,940 20,876 17,932 13,456 13,545 13,911 4,641 3,423 1,825 469 — unresolved within range

Representations

In words
one thousand one hundred twenty-eight
Ordinal
1128th
Roman numeral
MCXXVIII
Binary
10001101000
Octal
2150
Hexadecimal
0x468
Base64
BGg=
One's complement
64,407 (16-bit)
In other bases
ternary (3) 1112210
quaternary (4) 101220
quinary (5) 14003
senary (6) 5120
septenary (7) 3201
nonary (9) 1483
undecimal (11) 936
duodecimal (12) 7a0
tridecimal (13) 68a
tetradecimal (14) 5a8
pentadecimal (15) 503

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρκηʹ
Mayan (base 20)
𝋢·𝋰·𝋨
Chinese
一千一百二十八
Chinese (financial)
壹仟壹佰貳拾捌
In other modern scripts
Eastern Arabic ١١٢٨ Devanagari ११२८ Bengali ১১২৮ Tamil ௧௧௨௮ Thai ๑๑๒๘ Tibetan ༡༡༢༨ Khmer ១១២៨ Lao ໑໑໒໘ Burmese ၁၁၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,128 = 3
e — Euler's number (e)
Digit 1,128 = 5
φ — Golden ratio (φ)
Digit 1,128 = 9
√2 — Pythagoras's (√2)
Digit 1,128 = 3
ln 2 — Natural log of 2
Digit 1,128 = 3
γ — Euler-Mascheroni (γ)
Digit 1,128 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1128, here are decompositions:

  • 5 + 1123 = 1128
  • 11 + 1117 = 1128
  • 19 + 1109 = 1128
  • 31 + 1097 = 1128
  • 37 + 1091 = 1128
  • 41 + 1087 = 1128
  • 59 + 1069 = 1128
  • 67 + 1061 = 1128

Showing the first eight; more decompositions exist.

Unicode codepoint
Ѩ
Cyrillic Capital Letter Iotified Little Yus
U+0468
Uppercase letter (Lu)

UTF-8 encoding: D1 A8 (2 bytes).

Hex color
#000468
RGB(0, 4, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.104.

Address
0.0.4.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.104

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1128 first appears in π at position 14,718 of the decimal expansion (the 14,718ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.